Invertibility and dichotomy of differential operators on a half-line
type: Item
instance of: scholarly article
title: Invertibility and dichotomy of differential operators on a half-line
zbMATH Open document ID: 0771.34011
DOI: 10.1007/BF01063733
author: Asher Ben-Artzi
author: I. Gohberg
author: Marinus Kaashoek
published in: Journal of Dynamics and Differential Equations
publication date: 1993-05-16T00:00:00Z
review text: The authors deal with the differential operator \((Gf)(t)=f'(t)-A(t)f(t)\), \(t\geq 0\) a.e., associated with the initial value problem \((Gf)(t)=g(t)\), \(f(0)\in L\) where \(L\) is a subspace of \(\mathbb{C}^ n\). Under natural assumptions they give a necessary and sufficient condition for the invertibility of \(G\), and study this problem in great detail by means of a projection \(P\) called dichotomy.
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 168051
zbMATH Keywords: differential operator
zbMATH Keywords: invertibility
zbMATH Keywords: projection
zbMATH Keywords: dichotomy
reviewed by: E.Barvinek
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01063733
OpenAlex ID: W2095159759
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description: scientific article; zbMATH DE number 168051